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Mandarinka [93]
3 years ago
14

Find product of :(2x-y)(2x+3y).​

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer: 4x² + 4xy - 3y²

Concept:

When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:

  • <u>First</u>, which means multiplying the first terms together;
  • <u>Outer</u>, which means that we multiply the outermost terms when the binomials are placed side by side;
  • <u>Inner</u>, which means multiply the innermost terms together;
  • <u>Last</u>, which means that we multiply the last term in each binomial together.

Solve:

<u>Given</u>

(2x - y) (2x + 3y)

<u>Expand parentheses and apply the FOIL method</u>

=4x² + 6xy - 2xy - 3y²

<u>Combine like terms</u>

=4x² + (6xy - 2xy) - 3y²

=\boxed{4x^2+4xy-3y^2}

Hope this helps!! :)

Please let me know if you have any questions

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